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Simplifying 3x + -7x + 37 = 2x + 31 Reorder the terms: 37 + 3x + -7x = 2x + 31 Combine like terms: 3x + -7x = -4x 37 + -4x = 2x + 31 Reorder the terms: 37 + -4x = 31 + 2x Solving 37 + -4x = 31 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 37 + -4x + -2x = 31 + 2x + -2x Combine like terms: -4x + -2x = -6x 37 + -6x = 31 + 2x + -2x Combine like terms: 2x + -2x = 0 37 + -6x = 31 + 0 37 + -6x = 31 Add '-37' to each side of the equation. 37 + -37 + -6x = 31 + -37 Combine like terms: 37 + -37 = 0 0 + -6x = 31 + -37 -6x = 31 + -37 Combine like terms: 31 + -37 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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